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Knowing that the tension in wire BD is 650 N, determine the reaction at the fixed support C of the member shown. You must include FBD. 750 N 150 mm 250 mm -500 mm 400 N m 450 N 600 mm 400 mm

Knowing that the tension in wire BD is 650 N, determine the reaction at the fixed support C of the member shown. You must include FBD. 750 N 150 mm 250 mm -500 mm 400 N m 450 N 600 mm 400 mm

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter5: Three-dimensional Equilibrium
Section: Chapter Questions
Problem 5.39P: The bent rod of negligible weight is supported by the ball-and-socket joint at B and the cables...
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**Problem Statement:** Knowing that the tension in wire BD is 650 N, determine the reaction at the fixed support C of the member shown. You must include the Free Body Diagram (FBD). **Diagram Description:** The diagram illustrates a structural member with various forces acting on it, depicted as follows: 1. **Dimensions and Structure:** - The member starts vertically at point C and extends horizontally to the right for 400 mm. - It then bends 90 degrees upward at point A and continues vertically upwards for 500 mm. - Another horizontal segment extends to the right from point B for 250 mm. Point B is 150 mm above point A. 2. **Applied Forces:** - A force of 750 N is acting vertically downward at point B. - A force of 450 N is acting horizontally to the right at point D, which is 600 mm below point B and to the right of C. - A moment of 400 N·m is acting counter-clockwise at point A. 3. **Supports:** - The member is fixed at point C, which means it can resist horizontal and vertical forces as well as a moment. - Wire BD is supporting the member, creating a tension of 650 N in the wire. **Free Body Diagram (FBD):** In a Free Body Diagram, you need to illustrate all forces acting on the isolated member, including reactions at supports and external forces. For this member, the FBD should include: - Reaction forces at the fixed support C: - \( C_x \): horizontal reaction force. - \( C_y \): vertical reaction force. - \( M_C \): moment reaction. - External forces and moments: - 750 N downward force at point B. - 450 N rightward force at point D. - 400 N·m counter-clockwise moment at point A. - Tension in the wire BD (650 N). The FBD is essential for setting up equilibrium equations to solve for the unknown reactions at support C. **Steps to Solve:** 1. **Draw the FBD:** - Indicate all external forces, moments, and support reactions. - Represent the tension in wire BD, breaking it into its horizontal and vertical components, if necessary. 2. **Set Up Equilibrium Equations:** - Sum of Forces in the
Transcribed Image Text:**Problem Statement:** Knowing that the tension in wire BD is 650 N, determine the reaction at the fixed support C of the member shown. You must include the Free Body Diagram (FBD). **Diagram Description:** The diagram illustrates a structural member with various forces acting on it, depicted as follows: 1. **Dimensions and Structure:** - The member starts vertically at point C and extends horizontally to the right for 400 mm. - It then bends 90 degrees upward at point A and continues vertically upwards for 500 mm. - Another horizontal segment extends to the right from point B for 250 mm. Point B is 150 mm above point A. 2. **Applied Forces:** - A force of 750 N is acting vertically downward at point B. - A force of 450 N is acting horizontally to the right at point D, which is 600 mm below point B and to the right of C. - A moment of 400 N·m is acting counter-clockwise at point A. 3. **Supports:** - The member is fixed at point C, which means it can resist horizontal and vertical forces as well as a moment. - Wire BD is supporting the member, creating a tension of 650 N in the wire. **Free Body Diagram (FBD):** In a Free Body Diagram, you need to illustrate all forces acting on the isolated member, including reactions at supports and external forces. For this member, the FBD should include: - Reaction forces at the fixed support C: - \( C_x \): horizontal reaction force. - \( C_y \): vertical reaction force. - \( M_C \): moment reaction. - External forces and moments: - 750 N downward force at point B. - 450 N rightward force at point D. - 400 N·m counter-clockwise moment at point A. - Tension in the wire BD (650 N). The FBD is essential for setting up equilibrium equations to solve for the unknown reactions at support C. **Steps to Solve:** 1. **Draw the FBD:** - Indicate all external forces, moments, and support reactions. - Represent the tension in wire BD, breaking it into its horizontal and vertical components, if necessary. 2. **Set Up Equilibrium Equations:** - Sum of Forces in the
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